English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Mapping heterogeneities through avalanche statistics

MPS-Authors
/persons/resource/persons199581

Biswas,  Soumyajyoti
Group Pattern formation in the geosciences, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173520

Goehring,  Lucas
Group Pattern formation in the geosciences, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Biswas, S., & Goehring, L. (2019). Mapping heterogeneities through avalanche statistics. Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences, 377(2136): 20170388. doi:10.1098/rsta.2017.0388.


Cite as: http://hdl.handle.net/21.11116/0000-0002-9795-B
Abstract
Avalanche statistics of various threshold-activated dynamical systems are known to depend on the magnitude of the drive, or stress, on the system. Such dependences exist for earthquake size distributions, in sheared granular avalanches, laboratory-scale fracture and also in the outage statistics of power grids. In this work, we model threshold-activated avalanche dynamics and investigate the time required to detect local variations in the ability of model elements to bear stress. We show that the detection time follows a scaling law where the scaling exponents depend on whether the feature that is sought is either weaker, or stronger, than its surroundings. We then look at earthquake data from Sumatra and California, demonstrate the trade-off between the spatial resolution of a map of earthquake exponents (i.e. the b-values of the Gutenberg-Richter Law) and the accuracy of those exponents, and suggest a means to maximize both.This article is part of the theme issue 'Statistical physics of fracture and earthquakes'.